GCD of 129, 522, 174, 561 Calculator

Given Input numbers are 129, 522, 174, 561

In the factoring method, we have to find the divisors of all numbers

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (129, 522, 174, 561) = 3.

Given numbers are 129, 522, 174, 561

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 174 are 2 x 3 x 29

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 129, 522, 174, 561 is 3.

Given numbers are 129, 522, 174, 561

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(129, 522) = 22446

GCD(129, 522) = ( 129 x 522 ) / 22446

= 129 / 522

= 129

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 129, 522, 174, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 181, 988, 410
• GCD of 655, 127, 539, 705
• GCD of 468, 920, 632, 430
• GCD of 857, 150, 707, 909
• GCD of 318, 872, 492, 502

Given numbers are 129, 522, 174, 561
The greatest common divisor of numbers 129, 522, 174, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 522, 174, 561 is 3.

1. What is the GCD of 129, 522, 174, 561?

GCD of given numbers 129, 522, 174, 561 is 3

2. How to calculate the greatest common divisor of 129, 522, 174, 561?

We can find the highest common divisor of 129, 522, 174, 561 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 129, 522, 174, 561 i.e 3.

3. How can I use the GCD of 129, 522, 174, 561Calculator?

Out the numbers 129, 522, 174, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.